Answer:
Step-by-step explanation:
Hello!
The objective of this experiment is to test if the presence of toxaphene in the diet reduces the gain of weight. For these two random samples of female rats were made, one was fed with a diet that contained a low dose of toxaphene and the other, called the control group, was fed with the same type of food but without toxaphene. The weight of the rats was registered in both groups obtaining:
Sample 1 (with toxaphene)
n₁= 19 female rats
S₁= 58g
Sample 2 (control group)
n₂= 21
S₂= 30g
The hypothesis is that the presence of low-dose insecticide in the diet increases the variability in weight gain. Symbolically: σ₁² > σ₂²
The hypothesis is:
H₀: σ₁² ≤ σ₂²
H₁: σ₁² > σ₂²
α: 0.05
This hypothesis test is for the variance ratio, the statistic to use is:
F= (S₁²/S₂²)*( σ₁²/σ₂²)~F
This test is one-tailed (right) and the critical value is:
If F ≥ 2.19, you reject the null hypothesis.
If F < 2.19, you support the null hypothesis.
F= (S₁²/S₂²)*( σ₁²/σ₂²) = (3364/900)*1 = 3.737
Since the calculated value is greater than the critical value, the decision is to reject the null hypothesis. The variability of the weight gain of rats fed with a low dose of insecticide is greater than the variability of the control group.
I hope it helps!
Answer:
4.5 quarts
Step-by-step explanation:
12*1.5=18
There are 4 cups in a quart so 18/4= 4.5
To model this situation we are going to use the exponential decay function:
where
is the final amount remaining after
years of decay
is the initial amount
is the decay rate in decimal form
is the time in years
For substance A:
Since we have 300 grams of the substance,
. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
. Replacing the values in our function:
equation (1)
For substance B:
Since we have 500 grams of the substance,
. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
. Replacing the values in our function:
equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass
, we can replace
with
in both equations:
equation (1)
equation (2)
We can conclude that the system of equations that can be used to determine <span>how long it will be before the substances have an equal mass, </span>
, is:
Solving the system, we can show that it will take approximately 231.59 years for that to happen.
Answer: It’s B or E I would go with id say E
Step-by-step explanation: